Given equation of line is
$\frac{x+2}{2}=\frac{2y-5}{3}, z+1=0$
or $\frac{x+2}{2}=\frac{y-\frac{5}{2}}{\frac{3}{2}}, z+1=0$
Hence, $DR$ of a line are $<\,2, \frac{3}{2}, 0\,>$
Now , $\sqrt{2^{2}+\left(\frac{3}{2}\right)^{2}+0}$
$=\sqrt{4+\frac{9}{4}}=\sqrt{\frac{25}{4}}=\frac{5}{2}$
$\therefore DC$ of a line are
$<\,\frac{2}{5 / 2}, \frac{3 / 2}{5 / 2}, 0\,>$ or $<\,\frac{4}{5}, \frac{3}{5}, 0\,>$